The right triangle below is dilated by a scale factor of 3. Find the perimeter and area
of the right triangle below, as well as the perimeter and area of the dilated right
triangle. Figures are not necessarily drawn to scale.
24
10
26
Perimeter of given right triangle
units
Perimeter of dilated right triangle
units
units
Area of given right triangle
units?
Area of dilated right triangle
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Answer:

Mixed Number: 7 91/100

Improper Fraction: 791/100

Step-by-step explanation:

After calculations, it is determined that the required spacing of the closed stirrups is approximately 6 inches.

To determine the required spacing of closed stirrups for the given beam, we need to consider the factored shear and factored torsional moment. The formula for calculating the spacing of closed stirrups is given by:

s = (0.75√(f'c) / fy) * (Av / (bd - 2s))

where:

s = spacing of stirrups

f'c = specified compressive strength of concrete

fy = specified yield strength of steel reinforcement

Av = area of one closed stirrup

b = width of the beam

d = effective depth of the beam

Given information:

Width (b) = 15 in.

Effective depth (d) = 26.5 in.

Factored shear = 80 kips

Factored torsional moment = 50 ft-kips

Stirrup centroid from concrete face = 1.75 in.

No. 4 (no. 13) closed stirrup size = 0.2 square inches

First, we need to calculate the area of one closed stirrup:

Av = (No. of stirrups) * (Area of one stirrup)

Av = (2) * (0.2 square inches)

Av = 0.4 square inches

Next, we can substitute the values into the formula to calculate the spacing (s):

s = (0.75√(f'c) / fy) * (Av / (bd - 2s))

Assuming f'c = 4 ksi (common value for concrete strength) and fy = 60 ksi (common value for steel reinforcement strength), we can calculate:

s = (0.75√(4) / 60) * (0.4 / (15 * 26.5 - 2s))

Simplifying the equation, we get:

s = 0.0986 / (397.5 - 30s)

To solve for s, we can use an iterative approach or trial and error method. By substituting different values of s into the equation, we can find the spacing that satisfies the equation.

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Answer:

42

Step-by-step explanation:

since x is parallel to y m 26 remains constant

The specific calculations for expected frequencies, chi-square statistic, and critical value depend on the data and the distribution being tested.

In a chi-square goodness-of-fit test, the objective is to determine whether the observed frequencies in different categories significantly differ from the expected frequencies. The test involves calculating the chi-square statistic and comparing it to the critical value from the chi-square distribution at a given significance level.

In this specific case, we have six categories and 500 observations. To perform the chi-square goodness-of-fit test, we need the expected frequencies for each category. The expected frequencies are usually calculated based on a theoretical distribution or an assumed null hypothesis.

Given that the significance level is 0.01, we will compare the calculated chi-square statistic to the critical value at this level. The critical value represents the threshold beyond which we reject the null hypothesis.

Let's assume that the null hypothesis states that the observed frequencies are in line with the expected frequencies. To proceed with the test, we follow these steps:

Specify the null hypothesis (H0) and the alternative hypothesis (Ha):

Null hypothesis (H0): The observed frequencies are consistent with the expected frequencies in each category.

Alternative hypothesis (Ha): There is a significant difference between the observed and expected frequencies in at least one category.

Determine the expected frequencies for each category based on the null hypothesis.

Calculate the chi-square statistic using the formula:

chi-square = Σ((observed frequency - expected frequency)^2 / expected frequency)

Here, we sum over all the categories.

Determine the degrees of freedom (df), which is the number of categories minus 1 (df = number of categories - 1).

Look up the critical value from the chi-square distribution table using the significance level (0.01) and degrees of freedom (df).

Compare the calculated chi-square statistic to the critical value:

If the calculated chi-square statistic is greater than the critical value, we reject the null hypothesis.

If the calculated chi-square statistic is less than or equal to the critical value, we fail to reject the null hypothesis.

Performing these steps will allow us to determine whether there is sufficient evidence to reject the null hypothesis and conclude that there is a significant difference between the observed and expected frequencies in the categories.

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A situation in which conclusions based upon aggregated crosstabulation are different from unaggregated crosstabulation is known as Simpson's paradox.

Simpson’s Paradox is an example of statistics that can be wrong. The paradox is defined as averages that can be silly and misleading. Sometimes they can be just plain baffling.

It is also called the Yule-Simpson effect which is an effect that occurs when the marginal association between two categorical variables is qualitatively different from the partial association between the same two variables after controlling for one or more other variables.

This result is often encountered in social science and medical science statistics and is particularly problematic when frequency data are unduly given causal interpretations.

It is a statistical phenomenon where an association between two variables in a population emerges or reverses when the population is divided into subpopulations.

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Answer:

The total amount Mya will pay back is $43,814.40

Step-by-step explanation:

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Answer:

About 20%

Step-by-step explanation:

The probability of a point on the un-shaded region will be given by;

Area of the shaded region/total area  

Considering that the circles are of the same size, then the length of the square is 2d

Area of the square = 4d²

Area of the shaded = (4d² -4π(d/2)²

= 4d² -πd², but π = 22/7

= 6/7d²

Probability = (6/7d² ÷ 4d²) × 100%

= (6/28 d²) × 100%

= 21.42 %

So your answer is B. 20%

Don't thank me this was easy.

Answer:

\(12\pi\)

Step-by-step explanation:

The length of arc XPY is 3/4 of the circumference of the entire circle.

The circumference of the entire circle is \((2)(8)(\pi)=16\pi\).

So, the answer is \(\frac{3}{4}(16\pi)=12\pi\)

Answer:

x = -8

Step-by-step explanation:

Set one side of the equation to be -36, and the other side to be the actual equation for g(x) and solve for x.

-35 = 5x + 4

Subtract 4 from both sides.

-40 = 5x

Divide both sides by 5

-8 = x

x = -8

Answer:

333.33 miles

Step-by-step explanation:

Let x be the number of miles Mike and Juan drive.

They only have $300, however, so let's set an equation that will tell us how many miles, x, does it take to result in a total bill of $300.  The mileage fee will be ($0.75/mile)*(x miles driven).   Start with the $300 and subtract both the fixed fee of $50 and the mileage fee of 0.75x and set the result to zero, the point at which they spend $300.

$300 - $50 - ($0.75)x = 0

$250 - ($0.75)x = 0

- ($0.75)x = -$250

x = -($250)/(-$0.75)

x = 333.33 miles

CHECK:

Would Mike and Juan spend $300 on the rental car if they drove 333.33 miles?

                                            Rental Fee:     $50

Mileage:  ($0.75/mile)*(333.333 miles) = $250

                                             Total Cost:   $300  YES

Nothing left for burgers,

The answer to this arithmetic expression is approximately 9.9998 x 10¹⁸

A combination of numbers, variables, and operators that represents a quantity or mathematical relationship is called an expression.

First, divide sextillion (10²¹) by nonmillion (10⁶) to get 10¹⁵.

Next, multiply 10¹⁵ by 10,000 to get 10¹⁹.

Subtract 200 million (2 x 10⁸) from 10¹⁹ to get 9.9998 x 10¹⁸.

Finally, add 5,000 to get the result of approximately 9.9998 x 10¹⁸ + 5,000 = 9.9998 x 10¹⁸ + 0.0005 x 10¹⁸ = 9.9998 x 10¹⁸.

Therefore, the answer to this arithmetic expression is approximately 9.9998 x 10¹⁸

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Answer:

a.  11

Step-by-step explanation:

Mona wants to buy pens each pens costs 3.50 she can only buy 3 pens with the money she has which of these could be the money she has:

a.  11

b. 10

c. 14

d. 9

3.5 * 3 = 10.5 cost

She has 11.

Answer:

Step-by-step explanation:

AC=DC. (Given in figure)

AB=BD. (Given in figure

BC=BC. (Common)

that means triangle BAC is congruent to triangle BDC by SSS criterion.

The correct answers based on the given question and graphs are given below:

Breast Cancer: Cancer that forms in the cells of the breast. it occurs in women and rarely in men.

Cancer is a group of diseases involving abnormal cell growth and they spread to other parts of the body. There are different types of cancers.

It can be treatable by a medical professional and it requires a medical diagnosis and lab tests.

Colorectal: it is also known as bowel cancer, colon cancer or rectal cancer. It is the development of cancer in the colon or rectum

It can be identified by blood in the stool, changes in the bowel movements, fatigue, and weight loss.

Kidney Cancer: Cancer that first begin in the kidney when early detected it can be curable otherwise it will spread to other tissues and organs.

Leukemia: it is the blood cancer hindering or blocking the body's ability to fight infection.

Lung: Cancer begins in the lungs and is commonly found in smoking people.

Lymphoma: cancer in the lymphatic system. It is the body's disease-fighting network.

Melanoma: the most serious type of skin cancer. It occurs when the pigment-producing cells that give color to the skin become cancerous.

Oropharyngeal: tonsil cancer

Ovarian cancer: cancer that occurs in the female organ that produces eggs. If it is undetected it will spread within the pelvis and stomach. at the last stage, it s more difficult to treat and can be fatal.

Pancreas: Cancer in the organ called pancreas and it is late detectable

​​​​Prostate: Cancer in a man's prostate that produces seminal fluid.

Thyroid: butterfly-shaped gland at the base of the neck that is cancerous.

Uterus: cancer begins in the uterus.

The most common cancers that occur in male are prostate, lung, colorectal, and rarely breast cancer

The most common cancer found in females are the uterus, breast, ovarian

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The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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Answer:

-6-b

Step-by-step explanation:

The crease is \($x = \sqrt{15}\text{ cm}$\) long.

Let $x$ be the length of the crease. Then, the visible white area is a triangle with base of length $x$ and height of \($x\sqrt2$.\) The visible black area is also a triangle with the same base and height. Therefore, we have the equation

\($\frac{x^2\sqrt2}{2} = \frac{15}{2}$\)

Solving for $x$, we get

\(x^2=\sqrt{15}\)

Therefore, the crease is \($x = \sqrt{15}\text{ cm}$\) long.

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Answer:

v = k\(\sqrt{E}\)

Step-by-step explanation:

Given v is proportional to \(\sqrt{E}\) then the equation relating them is

v = k\(\sqrt{E}\) ← k is the constant of proportion

Answer:

v = k√E

Step-by-step explanation:

v is proportional to square root of E means:

v ϱ √E

the general formula for variation is y=kx

as y is proportional to x

for a two-tailed test at a 12.66% significance level, the critical values of z are approximately +1.53 and -1.53. We are looking for the z-score that corresponds to the area to the right of it (for the positive critical value) equal to 0.0633.

For a two-tailed test at a 12.66% significance level, we need to find the critical value of z.

Step 1: Determine the significance level for each tail.
Since this is a two-tailed test, we need to divide the overall significance level (12.66%) by 2. This gives us 6.33% (or 0.0633 in decimal form) in each tail.

Step 2: Find the z-score associated with the given significance level.
To find the critical value of z, you can use a z-table or an online calculator. We are looking for the z-score that corresponds to the area to the right of it (for the positive critical value) equal to 0.0633.

Using a z-table or calculator, you'll find that the z-score is approximately ±1.53.

So, for a two-tailed test at a 12.66% significance level, the critical values of z are approximately +1.53 and -1.53.

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Using the method of completing the square, we have the solution as; x = -2 or 6

We are given the quadratic equation;

x² - 4x = 12

Take half of the x term and square it;

(-4 * 1/2)² = 4

then add the result to both sides to get;

x² - 4x + 4 = 12 + 4

Rewrite the perfect square on the left;

(x - 2)² = 16

x - 2 = ±√16

x - 2 = 4 or x - 2 = -4

x = -2 or 6

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Answer:

cos^2(θ)

Step-by-step explanation:

Answer:

(4, 4)

Explanation:

(4, 4) is the only point which lies inside both of the inequalities.

Answer:

A.

\( - 1 \frac{1}{3} \)

The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is  8000 + 120C <= 27500

An inequality is a relationship that allows us to contrast two or more mathematical expressions.

Knowing that;

Each carton weighs 120 kg.

The container's maximum weight when loaded is 27500 kg.

Weight of the container as it is currently loaded: 8000 kg

Now that we have merged, we have;

Solution

because 8000 grams have already been loaded kilograms

into the container

each crate weighs 120 kilograms.

so 8000 + 120C <= 27500

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Answer:

7 is B

8 is C

9 is D

Step-by-step explanation:

Hey There!

So as you can see in the first image the slope of a line that passes through the coordinates (-3,1) and (5,-7) is -1

As you can see in the second image the equation of the line that passes through the points (-2,5) and (3,15) is y=2x+9

The last one is D because the equation is a=2b-3

The statement that says a is equal to 3 LESS then TWICE B is correct cause its saying that 2b - 3 is equal to a